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42232423200 = 25352112715903
BaseRepresentation
bin100111010101001111…
…111010001100100000
311001000020202101102020
4213111033322030200
51142443000020300
631222403221440
73023362450152
oct472517721440
9131006671366
1042232423200
1116a021136a0
128227677880
133ca0726b36
142088c88ad2
1511729aa8a0
hex9d53fa320

42232423200 has 288 divisors, whose sum is σ = 150542364672. Its totient is φ = 10198656000.

The previous prime is 42232423193. The next prime is 42232423229. The reversal of 42232423200 is 232423224.

It is a happy number.

42232423200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7151449 + ... + 7157351.

It is an arithmetic number, because the mean of its divisors is an integer number (522716544).

Almost surely, 242232423200 is an apocalyptic number.

42232423200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42232423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75271182336).

42232423200 is an abundant number, since it is smaller than the sum of its proper divisors (108309941472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42232423200 is a wasteful number, since it uses less digits than its factorization.

42232423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6208 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42232423200 its sum of digits (24), we get a palindrome (42232423224).

Adding to 42232423200 its reverse (232423224), we get a palindrome (42464846424).

The spelling of 42232423200 in words is "forty-two billion, two hundred thirty-two million, four hundred twenty-three thousand, two hundred".